Given numbers are 916,340,311,737,936

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 916,340,311,737,936 is 4175977342680.

Find LCM of 916,340,311,737,936 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 229 x 85 x 311 x 737 x 234 = 4175977342680

Therefore, the lowest common multiple of 916,340,311,737,936 is 4175977342680.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

916 x 340 x 311 x 737 x 936 = 66815637482880

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

916 : 1, 2, 4, 229, 458, 916

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

311 : 1, 311

737 : 1, 11, 67, 737

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,340,311,737,936, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

340:2x 2x 5x 17

311:311

737:11x 67

936:2x 2x 2x 3x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 66815637482880/(1x16)

LCM = 66815637482880/16

LCM = 4175977342680

Thus, we can understand that the LCM of 916,340,311,737,936 is 4175977342680.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 289, 866, 277, 104, 290
• LCM of 670, 937, 173, 728, 450
• LCM of 784, 276, 577, 896, 815
• LCM of 510, 527, 924, 319, 978
• LCM of 267, 348, 613, 930, 934

1. What is the LCM of 916, 340, 311, 737, 936?

Answer: LCM of 916, 340, 311, 737, 936 is 4175977342680.

2. How to calculate the LCM of 916, 340, 311, 737, 936?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 916, 340, 311, 737, 936.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.